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Simplifying 4(x + -2) + -1(x + 1) = 5 Reorder the terms: 4(-2 + x) + -1(x + 1) = 5 (-2 * 4 + x * 4) + -1(x + 1) = 5 (-8 + 4x) + -1(x + 1) = 5 Reorder the terms: -8 + 4x + -1(1 + x) = 5 -8 + 4x + (1 * -1 + x * -1) = 5 -8 + 4x + (-1 + -1x) = 5 Reorder the terms: -8 + -1 + 4x + -1x = 5 Combine like terms: -8 + -1 = -9 -9 + 4x + -1x = 5 Combine like terms: 4x + -1x = 3x -9 + 3x = 5 Solving -9 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 3x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 5 + 9 3x = 5 + 9 Combine like terms: 5 + 9 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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